Publications

    Academic year 1999 - 2000
  1. B.Georgeot and D.L.Shepelyansky, "Quantum chaos border for quantum computing",
    Phys. Rev. E v. 62 (2000) p.3504 (quant-ph/9909074 preprint)
    [ quantware highlight paper of 1999/2000 and 2005/2006 academic years].
  2. B.Georgeot and D.L.Shepelyansky, "Emergence of quantum chaos in the quantum computer core and how to manage it",
    Phys. Rev. E v.62 (2000) 6366 (quant-ph/0005015 preprint).
  3. D.L.Shepelyansky, "Quantum chaos & quantum computers",
    Nobel Symposium on Quantum Chaos Y2K, June 2000, Sweden, Physica Scripta v. T90 (2001) p.112 - 120 (quant-ph/0006073 preprint).
    Academic year 2000 - 2001
  4. P.H.Song and D.L.Shepelyansky, "Quantum computing of quantum chaos and imperfection effects",
    Phys. Rev. Lett. v. 86 (2001) p. 2162 - 2165 (quant-ph/0009005 preprint).
  5. G.Benenti, G.Casati and D.L.Shepelyansky, "Emergence of Fermi-Dirac thermalization in the quantum computer core",
    Eur. Phys. J. D v.17 (2001) p. 265 - 272 (quant-ph/0009084 preprint).
  6. B.Georgeot and D.L.Shepelyansky, "Exponential gain in quantum computing of quantum chaos and localization",
    Phys. Rev. Lett. v. 86 (2001) p. 2890 - 2893 (quant-ph/0010005 preprint).
  7. B.Georgeot and D.L.Shepelyansky, "Quantum computing of classical chaos: smile of the Arnold-Sch\"odinger cat",
    (quant-ph/0101004 preprint); "Stable quantum computation of unstable classical chaos", Phys. Rev. Lett. v.86 (2001) p.5393 - 5396. [related "Efficient quantum computation of high harmonics of the Liouville density distribution" (quant-ph/0110142 preprint), Georgeot and Shepelyansky reply, Phys. Rev. Lett. v.88 (2002) p.219802].
  8. B.Georgeot and D.L.Shepelyansky, "Efficient quantum computing insensitive to phase errors",
    in "Electronic Correlations: from meso- to nano-physics", Eds. T.Martin, G.Montambaux, and J.T.Thanh Van, EDP Sciences, Les Ulis, 2001, p. 557 - 562 (Proceedings of the XXXVIth rencontres de Moriond, 2001) (quant-ph/0102082 preprint).
  9. B.Georgeot and D.L.Shepelyansky, "Quantum computer inverting time arrow for macroscopic systems",
    Eur. Phys. J. D v.19 (2002) p. 263-266 (quant-ph/0105149 preprint).
  10. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, "Efficient quantum computing of complex dynamics",
    v.87 (2001) p.227901 [Fig.1 is on the cover page of Phys. Rev. Lett. of 26 Nov 2001] (quant-ph/0107036 preprint).
    Academic year 2001 - 2002
  11. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, "Eigenstates of operating quantum computer: hypersensitivity to static imperfections",
    Eur. Phys. J. D v.20 (2002) p. 293-296 (quant-ph/0112132 preprint).
  12. A.D.Chepelianskii and D.L.Shepelyansky, "Schrodinger cat animated on a quantum computer" (quant-ph/0202113 preprint)
    or "Simulation of chaos-assisted tunneling in a semiclassical regime on existing quantum computers", Phys. Rev. A v.66 (2002) p.054301.
  13. M.Terraneo, B.Georgeot and D.L.Shepelyansky, "Strange attractor simulated on a quantum computer",
    Eur. Phys. J. D v.22 (2003) p.127-130 (quant-ph/0203062 preprint).
  14. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, "Statistical properties of eigenvalues for an operating quantum computer with static imperfections",
    Eur. Phys. J. D v.22 (2003) pp.285-293 (quant-ph/0206130 preprint).
    Academic year 2002 - 2003
  15. G.Benenti, G.Casati, S.Montangero and D.L.Shepelyansky, "Dynamical localization simulated on a few qubits quantum computer ",
    Phys. Rev. A v.67 (2003) p.052312 (quant-ph/0210052 preprint).
  16. B.Levi, B.Georgeot and D.L.Shepelyansky, " Quantum computing of quantum chaos in the kicked rotator model ",
    Phys. Rev. E v.67 (2003) p.046220 (quant-ph/0210154 preprint).
  17. S.Bettelli and D.L.Shepelyansky, " Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos ",
    Phys. Rev. A v. 67 (2003) p.054303 (quant-ph/0301086 preprint).
  18. M.Terraneo and D.L.Shepelyansky, " Imperfection effects for multiple applications of the quantum wavelet transform ",
    Phys. Rev. Lett. v.90 (2003) p.257902 (quant-ph/0303043 preprint).
  19. A.A.Pomeransky, " Strong superadditivity of the entanglement of formation follows from its additivity ",
    Phys. Rev. A v.68 (2003) p.032317 (quant-ph/0305056 preprint)
    [ quantware highlight paper of 2002/2003 academic year].
  20. A.A.Pomeransky and D.L.Shepelyansky, " Quantum computation of the Anderson transition in the presence of imperfections ",
    Phys. Rev. A v.69 (2004) p.014302 (quant-ph/0306203 preprint).
  21. B.Georgeot et D.L.Shepelyansky, " Les ordinateurs quantiques affrontent le chaos ",
    to appear in Images de la Physique 2003 (quant-ph/0307103 preprint).
  22. B.Georgeot, " Quantum computing of Poincare recurrences and periodic orbits ",
    Phys. Rev. A v.69 (2004) 032301 (quant-ph/0307233 preprint).
    Academic year 2003 - 2004
  23. J.W.Lee, A.D.Chepelianskii and D.L.Shepelyansky, " Treatment of sound on quantum computers ",
    submitted to Phys. Rev. Lett. 31 July 2003 (quant-ph/0309018 preprint).
  24. M.Terraneo and D.L.Shepelyansky, " Dynamical localization and repeated measurements in a quantum computation process ",
    Phys. Rev. Lett. v.92 (2004) p.037902 (quant-ph/0309192 preprint).
  25. S.Bettelli, " A quantitative model for the effective decoherence of a quantum computer with imperfect unitary operations",
    Phys. Rev. A v.69 (2004) 042310 (quant-ph/0310152 preprint).
  26. K.M.Frahm, R.Fleckinger and D.L.Shepelyansky, "Quantum chaos and random matrix theory for fidelity decay in quantum computations
    with static imperfections "
    , Eur. Phys. J. D v. 29 (2004) p.139-155 [highlight paper of the issue] (quant-ph/0312120 preprint)
    [ quantware highlight paper of 2003/2004 academic year].
  27. A.Stotland, A.A.Pomeransky, E.Bachmat and D.Cohen, " The information entropy of quantum mechanical states ",
    Europhys. Lett. v.67 (2004) p.700 (quant-ph/0401021 preprint).
  28. A.A.Pomeransky, O.V.Zhirov and D.L.Shepelyansky, " Phase diagram for the Grover algorithm with static imperfections ",
    Eur. Phys. J. D v.31, (2004) p.131-135 (quant-ph/0403138 preprint); (related: A.A.Pomeransky, O.V.Zhirov and D.L.Shepelyansky, ``Effects of decoherence and imperfections for quantum algorithms'', Proceedings of ERATO Conference on Quantum Information Science 2004, Tokyo, pp. 171-172 (2004) (quant-ph/0407264)).
    Academic year 2004 - 2005
  29. G.G.Carlo, G.Benenti, G.Casati and D.L.Shepelyansky, " Quantum ratchets in dissipative chaotic systems ",
    Phys. Rev. Lett. v.94, p.164101 (2005) (cond-mat/0407702 preprint).
  30. O.Kern, G.Alber and D.L.Shepelyansky, "Quantum error correction of coherent errors by randomization ",
    Eur. Phys. J. D. v.32 (2005) p.153-156 (quant-ph/0407262 preprint)
    [ quantware highlight paper of 2004/2005 academic year].
  31. B.Levi and B.Georgeot, "Quantum computation of a complex system : the kicked Harper model",
    Phys. Rev. E v.70, 056218 (2004) (quant-ph/0409028 preprint).
  32. M.Terraneo, B.Georgeot and D.L.Shepelyansky, "Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment",
    Phys. Rev. E v.71, p.066215 (2005) (quant-ph/0412123 preprint).
  33. J.W.Lee and D.L.Shepelyansky, "Quantum chaos algorithms and dissipative decoherence with quantum trajectories",
    Phys. Rev. E v.71, p.056202 (2005) (quant-ph/0501120 preprint).
  34. J.W.Lee, D.V.Averin, G.Benenti and D.L.Shepelyansky, "Model of a deterministic detector and dynamical decoherence",
    Phys. Rev. A v.72, p.012310 (2005) (quant-ph/0501153 preprint).
  35. G.Carlo, G.Benenti and D.L.Shepelyansky, "Dissipative quantum chaos: transition from wave packet collapse to explosion",
    Phys. Rev. Lett. v.95, p.164101 (2005) (quant-ph/0503081 preprint).
  36. O.Giraud, B.Georgeot and D.L.Shepelyansky, "Quantum computing of delocalization in small-world networks",
    Phys. Rev. E v.72, p.036203 (2005) (quant-ph/0503188 preprint).
  37. O.Giraud and B.Georgeot, "Intermediate quantum maps for quantum computation",
    Phys. Rev. A v.72, p.042312 (2005) (quant-ph/0504230 preprint)
  38. D.Braun, "Entanglement from thermal blackbody radiation",
    Phys. Rev. A v.72, p.062334 (2005) (quant-ph/0505082 preprint)
    Academic year 2005 - 2006 (highlight paper is attributed to 1999/2000 academic year)
  39. O.V.Zhirov and D.L.Shepelyansky, "Quantum synchronization",
    Eur. Phys. J. D v.38, p.375-379 (2006) (2005) (cond-mat/0507029 preprint)
  40. J.Lages and D.L.Shepelyansky, "Suppression of quantum chaos in a quantum computer hardware",
    submitted to Phys. Rev. E 14 October (2005) (cond-mat/0510392 preprint)
  41. D.Braun and B.Georgeot, "A quantitative measure of interference",
    Phys. Rev. A v.73, p.022314 (2006) (quant-ph/0510159 preprint)
  42. O.V.Zhirov and D.L.Shepelyansky, "Dissipative decoherence in the Grover algorithm",
    Eur. Phys. J. D v.38, p.405-408 (2006) (quant-ph/0511010 preprint)
  43. D.Braun, "Decoherence in a system of many two-level atoms",
    Phys. Rev. Lett. v.96, p.230502 (2006) (quant-ph/0511262 preprint)
  44. D.Braun, "Indirect decoherence in optical lattices and cold gases",
    Eur. Phys. J. D v.42, p.103 (2006) (quant-ph/0606003 preprint)
    Academic year 2006 - 2007
  45. I.Garcia-Mata, O.V.Zhirov and D.L.Shepelyansky,
    "Frenkel-Kontorova model with cold trapped ions",
    Eur. Phys. J. D v.41, p.325 (2007) (cond-mat/0606135 preprint)
  46. D.Braun, "Invariant integration over the orthogonal group",
    J. Phys. A: Math. Gen. v.39, p.14581-14590 (2006) (math-ph/0607064 preprint)
  47. A.D.Chepelianskii and D.L.Shepelyansky,
    "Magnetization of ballistic quantum dots induced by a linear-polarized microwave field",
    Eur. Phys. J. B v.55, p.261-270 (2007) (cond-mat/0610695 preprint)
  48. L.Arnaud and D.Braun, "Distribution of interference in random quantum algorithms",
    Phys. Rev. A v.75, p.062314 (2007) (quant-ph/0612168 preprint)
  49. A.D.Chepelianskii, M.V.Entin, L.I.Magarill and D.L.Shepelyansky,
    "Photogalvanic current in artificial asymmetric nanostructures",
    Eur. Phys. J. B v.56, p.323-333 (2007) (cond-mat/0701128 preprint)
  50. I.Garcia-Mata, K.M.Frahm and D.L.Shepelyansky,
    ``Effects of imperfections for Shor's factorization algorithm",
    Phys. Rev. A v.75, p.052311 (2007) (quant-ph/0701169 preprint)
    [ quantware highlight paper of 2006/2007 academic year]
  51. I.Garcia-Mata, A.R.R.Carvalho, F.Mintert and A.Buchleitner,
    ``Entanglement-screening by nonlinear resonances",
    Phys. Rev. Lett. v.98, p.120504 (2007) (quant-ph/0702217 preprint)
  52. J.Martin and D.Braun, "Coherent control of atomic tunneling",
    J. Phys. B: At. Mol. Opt. Phys. v.41, p.115502 (2008) (arXiv:0704.0763 preprint)
  53. O.Giraud, J.Martin and B.Georgeot, "Entanglement of localized states",
    Phys. Rev. A 76, 042333 (2007) (arXiv:0704.2765 [quant-ph] preprint)
  54. A.O.Lyakhov, D.Braun and C.Bruder, "Role of interference in quantum state transfer
    through spin chains"
    , Phys. Rev. A 76, 022321 (2007)
    (arXiv:0705.3777 preprint)
  55. O. Giraud, "Distribution of bipartite entanglement for random pure states",
    J. Phys. A: Math. Theor. v.40, p.2793-2801 (2007) (quant-ph/0611285 preprint)
    Academic year 2007 - 2008
  56. A.D.Chepelianskii, A.S.Pikovsky and D.L.Shepelyansky "Synchnonization, zero-resistance states and rotating Wigner crystal",
    Eur. Phys. J. B v.60, p.225 (2007) (arxiv:0707.2694 preprint)
  57. D. Braun and J. Martin "Spontaneous emission from a two-level atom tunneling in a double-well potential",
    Phys. Rev. A v.77, p.032102 (2008) (arxiv:0707.4158 preprint)
  58. A.S.Pikovsky and D.L.Shepelyansky "Destruction of Anderson localization by a weak nonlinearity",
    Phys. Rev. Lett. v.100, p.094101 (2008) (arxiv:0708.3315 preprint)
  59. D.L.Shepelyansky "Fractal Weyl law for quantum fractal eigenstates",
    Phys. Rev. E v.77, p.015202(R) (2008) (arxiv:0709.2336 preprint)
  60. O.V.Zhirov and D.L.Shepelyansky, "Synchronization and bistability of qubit coupled to a driven dissipative oscillator",
    Phys. Rev. Lett. v.100, p. 014101 (2008) (arxiv:0710.1967 preprint)
  61. O.Giraud "Purity distribution for bipartite random pure states",
    J. Phys. A: Math. Theor. v.40, No 49, p. F1053-F1062 (2007) (arxiv:0710.2045 preprint)
  62. J.Martin, B.Georgeot and D.L.Shepelyansky,
    "Loschmidt cooling by time reversal of atomic matter waves",
    Phys. Rev. Lett. v.100, p.044106 (2008) (arxiv:0710.4860 preprint)
    [ quantware highlight paper of 2007/2008 academic year]
  63. D.Braun and B.Georgeot,
    "Interference versus success probability in quantum algorithms with imperfections",
    Phys. Rev. A v.77, p.022318 (2008) (arxiv:0711.1513 preprint)
  64. I.Garcia-Mata and D.L.Shepelyansky,
    "Quantum phase estimation algorithm in presence of static imperfections",
    Eur. Phys. J. D v.47, p.151 (2008) (arxiv:0711.1756 preprint)
  65. J.Martin, O.Giraud and B.Georgeot,
    "Multifractality and intermediate statistics in quantum maps",
    Phys. Rev. E v.77, p.035201(R) (2008) (arxiv:0711.2029 preprint)
  66. M.Znidaric, O.Giraud and B.Georgeot,
    "How many CNOT gates does it take to generate a three-qubit state ?",
    Phys. Rev. A v.77, p.032320 (2008) (arxiv:0711.4021 preprint)
  67. B.Georgeot and O.Giraud,
    "Quantum computing of semiclassical formulas",
    Phys. Rev. E v.77, p.046218 (2008) (arxiv:0801.4660 preprint)
  68. J.Martin, B.Georgeot and D.L.Shepelyansky,
    "Time reversal of Bose-Einstein condensates",
    Phys. Rev. Lett. v.101, p.074102 (2008) (arxiv:0804.3514 preprint)
  69. I.Garcia-Mata and D.L.Shepelyansky,
    "Delocalization induced by nonlinearity in systems with disorder",
    Phys. Rev. E v.79, p.026205 (2009) (arxiv:0805.0539[cond-mat] preprint)
  70. O.Giraud, P. Braun, and D. Braun,
    "Classicality of spin states",
    Phys. Rev. A v.78, p.042112 (2008) (arxiv:0805.2592 preprint)
    Academic year 2008 - 2009
  71. L.Arnaud and D. Braun,
    "Efficiency of producing random unitary matrices with quantum circuits",
    Phys. Rev. A v.78, p.062329 (2008) (arxiv:0807.0775 preprint)
  72. O.Giraud, J.Martin and B.Georgeot,
    "Entropy of entanglement and multifractal exponents for random states",
    Phys. Rev. A v.79, p.032308 (2009) (arxiv:0807.3716 preprint)
  73. A.D.Chepelianskii, M.V.Entin, L.I.Magarill and D.L.Shepelyansky,
    "Ratchet trnsport of interacting particles" ,
    Phys. Rev. E v.78, p.041127 (2008) (arxiv:0808.2970 preprint)
  74. I.Garcia-Mata, K.Frahm and D.L.Shepelyansky,
    "Shor's factorization algorithm with a single qubit and imperfections",
    Phys. Rev. A v.78, p.062323 (2008) (arxiv:0809.4416[quant-ph] preprint)
  75. J.Martin, B.Georgeot and D.L.Shepelyansky,
    "Chaotic dynamics of a Bose-Einstein condensate coulped to a qubit",
    Phys. Rev. E v.79, p.066205 (2009) (arxiv:0812.5067[quant-ph] preprint)
  76. I.Garcia-Mata, O.Giraud and B.Georgeot,
    "Quantum computation of multifractal exponents through the quantum wavelet transform",
    Phys. Rev. A v.79, p.052321 (2008) (arxiv:0901.0108[quant-ph] preprint)
  77. B.Georgeot and F.Mila,
    "Chirality of triangular antiferromagnetic clusters as a qubit",
    Phys. Rev. Lett. v.104, p.200502 (2010) (arxiv:0902.4652[cond-mat] preprint)
  78. I.Garcia-Mata and D.L.Shepelyansky,
    "Nonlinear delocalization on disordered Stark ladder",
    Eur. Phys. J. B v.71, p.121 (2009) (arxiv:0903.2103[cond-mat] preprint)
  79. M.Mulansky, K.Ahnert, A.Pikovsky and D.L.Shepelyansky,
    "Dynamical thermalization of disordered nonlinear lattices",
    Phys. Rev. E v.80, p.056212 (2009) (arxiv:0903.2191[cond-mat] preprint)
  80. O.Giraud, B.Georgeot and D.L.Shepelyansky,
    "Delocalization transition for the Google matrix",
    Phys. Rev. E v.80, p.026107 (2009) (arxiv:0903.5172[cond-mat] preprint)
    [ quantware highlight paper of 2008/2009 academic year]
  81. O.V.Zhirov and D.L.Shepelyansky,
    "Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator",
    Phys. Rev. B v.80, p.014519 (2009) (arxiv:0904.0289[cond-mat] preprint)
  82. K.M.Frahm and D.L.Shepelyansky,
    "Diffusion and localization for the Chirikov typical map",
    Phys. Rev. E v.80, p. 016210 (2009) (arxiv:0905.1884[cond-mat] preprint)
    Academic year 2009 - 2010
  83. D.L.Shepelyansky and O.V.Zhirov,
    "Google matrix, dynamical attractors and Ulam networks",
    Phys. Rev. E v.81, p.036213 (2010) (arxiv:0905.4162[cond-mat] preprint)
  84. O.Giraud, J.Martin and B.Georgeot,
    "Entanglement and localization of wavefunctions",
    proceedings of the NATO Advanced Research Workshop 'Recent Advances in Nonlinear Dynamics and Complex System Physics', Tashkent, Uzbekistan, 2008 (arxiv:0907.3389[cond-mat] preprint)
  85. E.Bogomolny, O.Giraud and C.Schmit,
    "Random matrix ensembles associated with Lax matricies",
    Phys. Rev. Lett. v.103, p.054103 (2009)
  86. L.Arnaud, D.Braun,
    "Distribution of interference in the presence of decoherence",
    Phys. Rev. A v.80, p.062329 (2009) (arxiv:0910.1826 preprint)
  87. L.Ermann and D.L.Shepelyansky,
    "Google matrix and Ulam networks of intermittency maps",
    Phys. Rev. E v.81, p.036221 (2010) (arxiv:0911.3823[cs.IR] preprint)
  88. G.L.Gattobigio, A.Couvert, B.Georgeot and D.Guery-Odlin,
    "Interaction of a propagating guided matter wave with a localized potential",
    New J. Phys. v.12, p.085013 (2010) (arxiv:0912.2943 preprint)
  89. L.Ermann and D.L.Shepelyansky,
    "Ulam method and fractal Weyl law for Perron-Frobenius operators",
    Eur. Phys. J. B v.75, p.299-304 (2010) (arxiv:0912.5083 preprint)
  90. D.Braun,
    "A simpel and versatile cold-atom simulator of non-Abelian gauge potentials",
    submitted to Phys. Rev. Feb 5, (2010) (arxiv:1002.1322 preprint)
  91. D.Braun,
    "Parameter estimation with mixed quantum states",
    submitted to Phys. Rev. Feb 5, (2010) (arxiv:1002.1323 preprint)
  92. O.Giraud, P.A.Braun and D.Braun,
    "Quantifying Quantumness and the Quest for Queens of Quantum",
    New J. Phys. v.12, p.063005 (2010) (arxiv:1002.2158 preprint)
  93. M.V.Entin, L.I.Magarill and D.L.Shepelyansky,
    "Theory of resonant photon drag in monolayer graphene",
    Phys. Rev. B v.81, p.165441 (2010) (arxiv:1002.0679 preprint)
  94. B.Georgeot, O.Giraud, and D.L.Shepelyansky,
    " Spectral properties of the Google matrix of the World Wide Web and other directed networks",
    Phys. Rev. E v.81, p.056109 (2010) (arxiv:1002.3342 preprint)
  95. D.L.Shepelyansky and O.V.Zhirov,
    "Towards Google matrix of brain",
    Phys. Lett. A v.374, p.3206 (2010) (arxiv:1002.4583 preprint)
  96. J. Martin, O. Giraud, P. A. Braun, D. Braun, T. Bastin,
    "Multiqubit symmetric states with high geometric entanglement",
    Phys. Rev. A v.81, p.062347 (2010) (arxiv:1003.0593 preprint)
  97. N.Destainville, B.Georgeot, O.Giraud,
    "Quantum algorithm for exact Monte Carlo sampling",
    Phys. Rev. Lett. v.104, p.250502 (2010) (arxiv:1003.1862 preprint)
  98. A.D.Chepelianskii,
    "Towards physical laws for software architecture",
    submitted March 29 (2010) (arxiv:1003.5455 preprint)
    [ quantware highlight paper of 2009/2010 academic year]
  99. B.Roubert, P.A.Braun and D.Braun,
    "Large effects of boundaries on spin amplification in spin chains",
    submitted to Phys. Rev. March 30, (2010) (arxiv:1003.5863 preprint)
  100. K.M.Frahm and D.L.Shepelyansky,
    "Ulam method for the Chirikov standard map",
    Eur. Phys. J. B v.76, p.57 (2010) (arxiv:1004.1349 preprint)
  101. O.V.Zhirov, A.S.Pikovsky and D.L.Shepelyansky,
    "Quantum compacton vacuum",
    submitted to PRE May 5, (2010) (arxiv:1005.0778 preprint)
  102. L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky,
    "Fractal Weyl law for Linux Kernel Architecture",
    Eur. Phys. J. B 79, 115-120 (2011) (arxiv:1005.1395 preprint)
    [ quantware highlight paper of 2009/2010 academic year]
  103. D.Braun, J.Martin,
    "Collectively enhanced quantum measurements at the Heisenberg limit",
    Nature Communications, 2, 223 (2011) (arxiv:1005.4443 preprint)
    Academic year 2010 - 2011
  104. A.O.Zhirov, O.V.Zhirov and D.L.Shepelyansky,
    "Two-dimensional ranking of Wikipedia articles",
    Eur. Phys. J. B v.77, p.523 (2010) (arxiv:1006.4270 preprint)
  105. J.Martin, I.Garcia-Mata, O.Giraud, and B.Georgeot,
    "Multifractal wave functions of simple quantum maps",
    Phys. Rev. E v.82, p.046206 (2010) (arxiv:1007.1404 preprint)
  106. M.Abel and D.L.Shepelyansky,
    "Google matrix of business process management",
    Eur. Phys. J. B v.84, p.493 (2011) (arxiv:1009.2631[cs.CY] preprint)
  107. D.Braun,
    "Ultimate quantum bounds on mass measurements with a nano-mechanical oscillator ",
    Eur. Phys. Lett. 94, 68007 (2011) (arxiv:1009.5020[quant-ph] preprint)
  108. L.Ermann and D.L.Shepelyansky,
    "Relativistic graphene ratchet on semidisk Galton board",
    Eur. Phys. J. B 79, 357-362 (2011) (arxiv:1010.4441[cond-mat.mes-hall] preprint)
  109. D.Braun, J.Hoffman and E.Tiesinga,
    "Superradiance of cold atoms coupled to a superconducting circuit",
    submitted to Phys. Rev. January 27, (2011) (arxiv:1101.5300 preprint)
  110. O.V.Zhirov and D.L.Shepelyansky,
    "Wigner crystal in snaked nanochannels",
    Eur. Phys. J. B v.82, p.63 (2011) (arxiv:1102.1277[cond-mat.mes-hall] preprint)
  111. L.Ermann and D.L.Shepelyansky,
    "Google matrix of the world trade network",
    Acta Physica Polonica A, vol. 120 (6A), A-158 (2011) (arxiv:1103.5027[physics.soc-ph] preprint)
  112. P.Nalbach, D.Braun, M.Thorwart,
    "How "quantum" is the exciton dynamics in the Fenna-Matthews-Olson complex?",
    Phys. Rev. E 84, 041926 (2011) (arxiv:1104.2031 preprint)
  113. O.Pinel, J.Fade, D.Braun, P.Jian, N.Treps, C.Fabre,
    "Quantum Cramer-Rao bound using Gaussian multimode quantum resources, and how to reach it",
    submitted to Phys. Rev. April, (2011) (arxiv:1104.2644 preprint)
  114. K.M.Frahm, B.Georgeot and D.L.Shepelyansky,
    "Universal emergence of PageRank",
    J. Phys. A: Math. Theor. 44, 465101 (2011) (arxiv:1105.1062[cs.IR] preprint)
    [ quantware highlight paper of 2010/2011 academic year]
  115. G.L.Gattobigio, A.Couvert, B.Georgeot, D.Guery-Odlin,
    "Exploring classically chaotic potentials with a matter wave quantum probe",
    Phys. Rev. Lett. 107, 254104 (2011) (arxiv:1105.1971[cond-mat.quant-gas] preprint)
  116. B.Georgeot and O.Giraud,
    "The game of go as a complex network",
    Europhysics Letters 97, 68002 (2012) (arxiv:1105.2470 preprint)
    Academic year 2011 - 2012
  117. L.Ermann, A.D.Chepelianskii and D.L.Shepelyansky,
    "Towards two-dimensional search engines",
    J. Phys. A: Math. Theor. 45, 275101 (2012) (arxiv:1106.6215[cs.IR] preprint)
  118. L.Ermann and D.L.Shepelyansky,
    "Arnold cat map, Ulam method and time reversal",
    Physica D 241, 514-518 (2012) (arxiv:1107.0437[nlin.CD] preprint)
  119. F.Benatti and D.Braun,
    "Sub-shot noise sensitivities without entanglement",
    submitted to Phys. Rev. Sept (2011) (arxiv:1109.0206[quant-ph] preprint)
  120. K.M.Frahm and D.L.Shepelyansky,
    "Poincare recurrences of DNA sequence",
    Phys. Rev. E 85, 016214 (2012) (arxiv:1109.0436[q-bio.GN] preprint)
    [ quantware highlight paper of 2011/2012 academic year]
  121. O.Giraud, P.Braun and D.Braun,
    "Parametrization of spin-1 classical states",
    submitted to Phys. Rev. Oct (2011) (arxiv:1110.0325[quant-ph] preprint)
  122. L.Ermann and D.L.Shepelyansky,
    "Ecological analysis of world trade",
    Phys. Lett. A v.377, p.250-256 (2013) (arXiv:1201.3584[q-fin.GN] preprint)
  123. I.Nechita and C.Pellegrini,
    "Random pure quantum states via unitary Brownian motion ",
    submitted Jan 25, (2012) (arXiv:1201.5333[math.PR] preprint)
  124. G.Aubrun and I.Nechita,
    "Realigning random states",
    J. Math. Phys. v.53, p.102210 (2012) (arXiv:1203.3974[math.PR] preprint)
  125. G.L.Gattobigio, A.Couvert, G.Reinaudi, Bertrand Georgeot, D.Guery-Odelin,
    "Optically guided beam splitter for propagating matter waves ",
    Phys. Rev. Lett. v.109, p.030403 (2012) (arXiv:1203.1220[cond-mat.quant-gas] preprint)
  126. V.Kandiah and D.L.Shepelyansky,
    "PageRank model of opinion formation on social networks",
    Physica A v.391, p.5779 (2012) (arXiv:1204.3806[physics.soc-ph] preprint)
    [ quantware highlight paper of 2011/2012 academic year]
  127. N.Wiebe, D.Braun and S.Lloyd,
    "Quantum data fitting",
    Phys. Rev. Lett. 109, 050505 (2012) (arxiv:1204.5242[quant-ph] preprint)
  128. K.M.Frahm, A.D.Chepelianskii and D.L.Shepelyansky,
    "PageRank of integers",
    J. Phys. A: Math. Theor. v.45, p.405101 (2012) (arxiv:1205.6343[cs.IR] preprint)
  129. I. Garcia-Mata, J. Martin, O. Giraud and B. Georgeot,
    "Multifractality of quantum wave packets",
    Phys. Rev. E 86, 056215 (2012) ((arxiv:1207.1675preprint)
  130. Heng-Na Xiong, Wei-Min Zhang, Matisse Wei-Yuan Tu, Daniel Braun,
    "Dynamically stabilized decoherence-free states in non-Markovian open fermionic systems",
    Phys. Rev. A v.86, p.032107 (2013) (arxiv:1207.1538[quant-ph] preprint)
  131. K.M.Frahm and D.L.Shepelyansky,
    "Google matrix of Twitter",
    Eur. Phys. J. B v.85, p.355 (2012) (arxiv:1207.3414[cs.SI] preprint)
    Academic year 2012 - 2013
  132. L.Ermann, K.M.Frahm and D.L.Shepelyansky,
    "Spectral properties of Google matrix of Wikipedia and other networks",
    Eur. Phys. J. B v.86, p.193 (2013), (arxiv:1212.1068[cs.IR] preprint)
  133. V.Kandiah and D.L.Shepelyansky,
    "Google matrix analysis of DNA sequences",
    PLoS ONE v.8(5), p.e61519 (2013) (arXiv:1301.1626[q-bio.GN] preprint)
  134. P.Cheiney, F.Damon, G.Condon, B.Georgeot and D.Guery-Odelin,
    "Realization of tunnel barriers for matter waves using spatial gaps",
    submitted to Phys. Rev. Feb, 2013 (arXiv:1301.1626[q-bio.GN] preprint)
  135. K.M.Frahm and D.L.Shepelyansky,
    "Poincaré recurrences and Ulam method for the Chirikov standard map ",
    Eur. Phys. J. B v.86, p.322 (2013) ( arXiv:1302.2761 [nlin.CD] preprint)
    [ quantware highlight paper of 2012/2013 academic year]
  136. Y.-H.Eom, K.M.Frahm, A.Benczur and D.L.Shepelyansky,
    "Time evolution of Wikipedia network ranking ",
    submitted to EPJB Apr 24, 2013 ( arXiv:1304.6601 [physics.soc-ph] preprint)
  137. L.Chakhmakhchyan and D.L.Shepelyansky,
    "PageRank model of opinion formation on Ulam networks",
    submitted to Phys. Lett. A June 3, 2013 ( arXiv:1305.7395 [nlin.CD] preprint)
  138. Y.-H.Eom and D.L.Shepelyansky,
    "Highlighting entanglement of cultures via ranking of multilingual Wikipedia articles",
    submitted to PLoS ONE June 26, 2013 ( arXiv:1306.6259 [cs.SI] preprint)
    Academic year 2013 - 2014
  139. K.M.Frahm, Y.-H.Eom and D.L.Shepelyansky,
    "Google matrix of the citation network of Physical Review",
    submitted to Phys. Rev. E Oct 21, 2013 ( arXiv:1310.5624 [physics.soc-ph] preprint)
  140. V.Kandiah and D.L.Shepelyansky,
    "Google matrix analysis of C.elegans neural network",
    submitted Nov 8, (2014) ( arXiv:1311.2013[physics.soc-ph] preprint)
  141. K.M.Frahm and D.L.Shepelyansky,
    "Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks",
    submitted Eur. Phys. J. B Feb 24, (2014) ( arXiv:1402.5839 [physics.soc-ph] preprint)
  142. Y.-H.Eom, H.-H.Jo,
    "Generalized friendship paradox in complex networks: The case of scientific collaboration",
    Scientific Reports 4, 4603 (2014) ( arXiv:1401.1458[physics.soc-ph] preprint)
  143. H.-H.Jo, Y.-H.Eom,
    "Generalized friendship paradox in networks with tunable degree-attribute correlation ",
    Phys. Rev. E 90, 022809 (2014) ( arXiv:1405.1279[physics.soc-ph] preprint)
  144. V.Kandiah, B.Georgeot and O.Giraud,
    "Move ordering and communities in complex networks describing the game of go ",
    submitted Phys. Rev. E May (2014) ( arXiv:1405.6077 [physics.soc-ph] preprint)
  145. Y.-H.Eom, P.Aragon, D.Laniado, A.Kaltenbrunner, S.Vigna and D.L.Shepelyansky,
    "Interactions of cultures and top people of Wikipedia from ranking of 24 language editions",
    submitted to PLoS ONE May 28, (2014) ( arXiv:1405.7183 [cs.SI] preprint)
    [ quantware highlight paper of 2013/2014 academic year]
    Academic year 2014 - 2015
  146. L.Ermann, K.M.Frahm and D.L.Shepelyansky,
    "Google matrix analysis of directed networks",
    submitted to Rev. Mod. Phys. July 25, (2014) (arXiv:1409.0428 [physics.soc-ph] preprint)
  147. L.Ermann and D.L.Shepelyansky,
    "Google matrix analysis of the multiproducts world trade network",
    submitted to Eur. Phys. J. B Jan 14, (2015) (arXiv:1501.03371 [q-fin.ST] preprint)
  148. O.V.Zhirov and D.L.Shepelyansky,
    "Anderson transition for Google matrix eigenstates",
    submitted to Ann. der Physik (Leipzig) Feb 2, (2015) (arXiv:1502.00584 [cond-mat.dis-nn] preprint)
  149. Y.-H.Eom and D.L.Shepelyansky,
    "Opinion formation driven by PageRank node influence on directed networks",
    submitted to Physica A Feb 9, (2015) (arXiv:1502.02567 [physics.soc-ph] preprint)
  150. V.Kandiah, H.Escaith and D.L.Shepelyansky,
    "Google matrix of the world network of economic activities",
    submitted to Eur. Phys. J. B April, (2015) (arXiv:1504.06773 [q-fin.ST] preprint)